Math Problem Statement

Υπολογίστε το επικαμπύλιο ολοκλήρωμα ∫γ z^2 dz όπου γ(t) = t^2 - it, t ∈ [0, 1].

Solution

The image contains a problem written in Greek. It appears to ask for the evaluation of a contour integral:

  1. Compute the contour integral γz2dz\int_{\gamma} z^2 \, dz where γ(t)=t2it\gamma(t) = t^2 - it, for ( t \in [0,

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Complex Analysis
Contour Integration

Formulas

∫γ z^2 dz

Theorems

Cauchy Integral Theorem
Parameterization of Contours

Suitable Grade Level

Undergraduate level (Math, Physics)